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Traces and Determinants of Pseudodifferential Operators

Simon Scott

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.001.0001
Subject:
Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More


Clustering of Disadvantage and Empirical Research

Jonathan Wolff and Avner De-Shalit

in Disadvantage

Published in print:
2007
Published Online:
May 2007
ISBN:
9780199278268
eISBN:
9780191707902
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199278268.003.0008
Subject:
Political Science, Political Theory

The previous chapters demonstrated that the issue of identifying the least advantaged reduces to the question of whether clustering of disadvantage can be identified among the ‘high-weight ... More


Determinants

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0003
Subject:
Mathematics, Analysis

Determinants as abstract invariants have received less study in the mathematical literature than traces, on which there is an extensive literature. However, determinants can be treated in a general ... More


Referential Function (II)

Maximilian de Gaynesford

in I: The Meaning of the First Person Term

Published in print:
2006
Published Online:
May 2006
ISBN:
9780199287826
eISBN:
9780191603570
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199287821.003.0010
Subject:
Philosophy, Philosophy of Language

I fulfils its referential function in the deictic mode. Deictic terms fulfil their referential role by the action of making an individual salient. That is the genus to which ... More


Working Classes Map the City

Ira Katznelson

in Marxism and the City

Published in print:
1993
Published Online:
January 2005
ISBN:
9780198279242
eISBN:
9780191601910
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198279248.003.0006
Subject:
Political Science, Political Theory

For Marxism, the main issues of social theory within the industrial phase of capitalism focus on the formation of working classes, and this subject is best treated, in significant measure, as an ... More


Computations, Transition Formulae, and the Local Index Formula

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0004
Subject:
Mathematics, Analysis

In this chapter the constructions of chapters 1 and 2 for are illustrated with explicit computations. The first part of the chapter presents various methods of computation commonly used in the ... More


Pseudodifferential Operator Trace Formulae

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0005
Subject:
Mathematics, Analysis

In this chapter details of the construction of the fundamental trace functionals on pseudodifferential operators are given. The approach to traces taken here is through an analysis of the singularity ... More


Geometric Families of Pseudodifferential Operators and Determinant Line Bundles

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0006
Subject:
Mathematics, Analysis

The final chapter focuses on applications of trace and determinant structures to geometric families of pseudodifferential operators. This is closely entwined with developments in QFT and string ... More


INTIAL BOUNDARY VALUE PROBLEM IN A HALF-SPACE WITH CONSTANT COEEFICIENTS

Sylvie Benzoni-Gavage and Denis Serre

in Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211234
eISBN:
9780191705700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211234.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter drops the assumption of symmetry, or at least it does not assume the dissipativity in a classical sense. The search for a necessary condition for maximal estimates (strong well-posedness ... More


BOUNDARY CONDITIONS FOR EULER EQUATIONS

Sylvie Benzoni-Gavage and Denis Serre

in Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211234
eISBN:
9780191705700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211234.003.0014
Subject:
Mathematics, Applied Mathematics

The nature of an IBVP for a gas depends on the sign of the normal velocity, and on the sub- and super-sonicity. This chapter proceeds to a classification, describing which boundary conditions are ... More


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